Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 442 · 40 sums

The method (Keep the balance): 3x means 3 × x. "5 more" → + 5, "5 fewer" → − 5, "5 times" → 5n, "shared among 5" → n ÷ 5. Value of an expression: put the number in place of the letter, then work it out — 3x + 5 when x = 4 is 12 + 5 = 17. Solve x + a = b by taking a from both sides; x − a = b by adding a; ax = b by dividing by a; x ÷ a = b by multiplying by a. Check by putting your answer back into the equation.

1. 1.Find the value of 4a + 7b when a = 10 and b = 4.
2. 2.Find the value of 7m − 15 when m = 3.
3. 3.Find the value of 6a + 5b when a = 1 and b = 3.
4. 4.Solve: m − 11 = 6. What is m?
5. 5.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
6. 6.Find the value of 2m + 16 when m = 11.
7. 7.Find the value of 7a + 3b when a = 4 and b = 10.
8. 8.Solve: t − 2 = 4. What is t?
9. 9.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
10. 10.Find the value of 4a + 5b when a = 5 and b = 3.
11. 11.Find the value of 6m − 11 when m = 6.
12. 12.Find the value of 4a + 5b when a = 10 and b = 1.
13. 13.Find the value of 9a + 7b when a = 8 and b = 6.
14. 14.Solve: t − 4 = 6. What is t?
15. 15.Find the value of 2a + 5b when a = 1 and b = 4.
16. 16.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
17. 17.Find the value of 2x + 1 when x = 12.
18. 18.Aditya has p books. A friend has 2 more. Which expression shows how many books the friend has? (a) p ÷ 2 (b) 2p (c) p + 2 (d) p − 2
19. 19.Solve: t − 8 = 14. What is t?
20. 20.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
21. 21.Priya has p mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) 6p (b) p + 6 (c) p ÷ 6 (d) p − 6
22. 22.Tara has m mangoes. A friend has 5 times as many. Which expression shows how many mangoes the friend has? (a) m + 5 (b) m − 5 (c) m ÷ 5 (d) 5m
23. 23.Find the value of 7a + 2b when a = 5 and b = 3.
24. 24.Solve: t ÷ 4 = 10. What is t?
25. 25.Arjun shares k laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) 5k (b) k ÷ 5 (c) k − 5 (d) k + 5
26. 26.Find the value of 3a + 3b when a = 1 and b = 5.
27. 27.Solve: x − 3 = 16. What is x?
28. 28.Joseph has p balloons. A friend has 4 more. Which expression shows how many balloons the friend has? (a) 4p (b) p − 4 (c) p + 4 (d) p ÷ 4
29. 29.Lakshmi has k pencils. A friend has 8 times as many. Which expression shows how many pencils the friend has? (a) 8k (b) k − 8 (c) k ÷ 8 (d) k + 8
30. 30.Lakshmi has k balloons. A friend has 7 more. Which expression shows how many balloons the friend has? (a) k + 7 (b) k − 7 (c) 7k (d) k ÷ 7
31. 31.Solve: n ÷ 11 = 5. What is n?
32. 32.Kavya has k balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) k ÷ 9 (b) k + 9 (c) 9k (d) k − 9
33. 33.Find the value of 2t + 5 when t = 9.
34. 34.Find the value of 8y + 3 when y = 6.
35. 35.Find the value of 4a + 8b when a = 1 and b = 7.
36. 36.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
37. 37.Solve: n ÷ 12 = 6. What is n?
38. 38.Find the value of 4a + 5b when a = 5 and b = 2.
39. 39.Solve: x − 12 = 2. What is x?
40. 40.Vivaan has k flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) k − 5 (b) k ÷ 5 (c) k + 5 (d) 5k

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